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‎README.md

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Mandelbrot set simple PHP Generator
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===================================
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Simple Generator for create image of Mandelbrot set as base64 by full-configuration request.
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This package was inspired by Pavol Hejný.
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Install
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-------
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By Composer:
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```shell
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mathematicator-core/mandelbrot-set
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```
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Use
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---
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Inject `MandelbrotSet` service to your application, create new Request and process by `loadImage()` method.

‎composer.json

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{
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"name": "mathematicator-core/mandelbrot-set",
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"description": "Mandelbrot set simple PHP Generator.",
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"homepage": "https://github.com/mathematicator-core/mandelbrot-set",
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"authors": [
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{
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"name": "Jan Barášek",
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"homepage": "http://baraja.cz"
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},
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{
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"name": "Pavol Hejný",
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"homepage": "https://www.pavolhejny.com"
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}
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],
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"require": {
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"php": ">=7.1",
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"nette/utils": "^3.0"
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},
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"autoload": {
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"classmap": [
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"src/"
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]
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},
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"minimum-stability": "stable"
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}

‎config.neon

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services:
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- Mathematicator\MandelbrotSet\MandelbrotSet(%tempDir%/mandelbrot-set)

‎src/MandelbrotSet.php

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<?php
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declare(strict_types=1);
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namespace Mathematicator\MandelbrotSet;
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/**
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* Calculate and render Mandelbrot set as image to file.
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* Implementation is inspired by Pavol Hejny, https://www.pavolhejny.com/.
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*/
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class MandelbrotSet
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{
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/**
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* @var string
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*/
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private $tempDir;
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/**
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* @param string $tempDir
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* @throws \Exception
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*/
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public function __construct(string $tempDir)
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{
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ini_set('max_execution_time', '100000');
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if (!is_dir($tempDir) && !@mkdir($tempDir, 0777, true) && !is_dir($tempDir)) { // @ - dir may already exist
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throw new \Exception(
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'Unable to create directory "' . $tempDir . '". '
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. preg_replace('#^\w+\(.*?\): #', '', error_get_last()['message'])
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);
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}
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$this->tempDir = $tempDir;
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}
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/**
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* Load image from temp by Request and return as base64 image.
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*
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* @param MandelbrotSetRequest $request
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* @return string
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*/
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public function loadImage(MandelbrotSetRequest $request): string
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{
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if (is_file($path = $this->tempDir . '/' . $request->getFileName()) === false) {
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$this->generate($request);
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}
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return 'data:' . mime_content_type($path) . ';base64,' . base64_encode(file_get_contents($path));
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}
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/**
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* Process image by request and save to temp file.
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*
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* @param MandelbrotSetRequest $request
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*/
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public function generate(MandelbrotSetRequest $request): void
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{
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[$w, $h, $itt, $min_x, $max_x, $min_y, $max_y, $d1, $d2] = $request->getParams();
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$dim_x = $w;
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$dim_y = $h;
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$im = imagecreatetruecolor((int) $dim_x, (int) $dim_y);
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imagealphablending($im, false);
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imagesavealpha($im, true);
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$blackColor = imagecolorallocate($im, 0, 0, 0);
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$alpha_color = imagecolorallocatealpha($im, 0, 0, 0, 127);
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imagefill($im, 0, 0, $alpha_color);
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for ($y = 0; $y <= $dim_y; $y++) { // Procházení a vyhodnocení každého bodu
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for ($x = 0; $x <= $dim_x; $x++) { // Zjištění souřadnic bodu, který se přičte v každé iteraci
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$c1 = $min_x + ($max_x - $min_x) / $dim_x * $x;
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$c2 = $min_y + ($max_y - $min_y) / $dim_y * $y;
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$z1 = 0; // aktuální číslo
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$z2 = 0;
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for ($i = 0; $i < $itt; $i++) { // Main iterator
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// Zjištění vzdálenosti od 0+0i
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$distance = sqrt($z1 * $z1 + $z2 * $z2);
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if ((int) $distance !== 0) {
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$angle = acos($z1 / $distance);
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} else {
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$angle = 0;
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}
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if ($z2 < 0) { // Úhel
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$angle = (2 * M_PI) - $angle;
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}
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$angle *= $d1; // Vynásobení úhlu
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$distance = $distance ** $d2; // Mocnění vzdálenosti
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// Výpočet nového x,y
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$z1 = cos($angle) * $distance;
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$z2 = sin($angle) * $distance;
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// Přičtení souřadnic bodu
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$z1 += $c1;
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$z2 += $c2;
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// Pokud je bod ve vzdálenosti 2 nebo větší, bod v množině nebude a iterování lze ukončit
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if ($z1 * $z1 + $z2 * $z2 >= 4) {
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break;
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}
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}
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// Pokud v každé iteraci držel nový bod ve vzdálenosti 2 nebo méně, je původní bod vyplněn.
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if ($i >= $itt) {
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imagesetpixel($im, (int) round($x), (int) round($y), $blackColor);
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}
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}
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}
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// Save to file
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imagesavealpha($im, true);
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imagepng($im, $path = $this->tempDir . '/' . $request->getFileName());
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imagedestroy($im);
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}
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/**
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* @param int $width
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* @param int $height
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*/
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public function renderAll(int $width = 300, int $height = 300): void
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{
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$minX = -2; // Levý okraj
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$maxX = 1; // Pravý okraj
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$minY = ($height * ($maxX - $minX) / $width) / -2;// Horní okraj
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$maxY = ($height * ($maxX - $minX) / $width) / 2;// Dolní okraj
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// čísla, kterými se bude násobit uhel
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$ax = [];
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for ($x = -7; $x <= 3; $x++) {
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$ax[] = $x;
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}
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sort($ax);
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$ay = []; // čísla, kterými se bude mocnit vzdálenost
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for ($y = 0; $y <= 4; $y++) {
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$ay[] = $y;
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}
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sort($ay);
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array_unshift($ax, false);
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array_unshift($ay, false);
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echo '<table>';
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foreach ($ay as $d2) {
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echo '<tr>';
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foreach ($ax as $d1) {
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if ($d1 !== false && $d2 !== false) {
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$request = new MandelbrotSetRequest($d1, $d2, $width, $height, 18, $minX, $maxX, $minY, $maxY);
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if ($d1 * $d2 % 2) {
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$bgColor = 'eeeeee';
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} elseif ($d1 % 2) {
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$bgColor = 'f5f5f5';
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} elseif ($d2 % 2) {
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$bgColor = 'f5f5f5';
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} else {
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$bgColor = 'fbfbfb';
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}
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echo '<td bgcolor="' . $bgColor . '"><img src="' . $this->loadImage($request) . '" border="0"></td>';
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} elseif ($d1 === false && $d2 !== false) { // Zobrazení popisku osy
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echo('<td valign="middle">');
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if ((int) round($d2) === (int) $d2) {
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echo '<h2>^' . $d2 . '&nbsp;</h2>';
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} else {
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echo '^' . $d2 . '&nbsp;';
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}
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echo '</td>';
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} elseif ($d2 === false && $d1 !== false) { // Zobrazení popisku osy
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echo '<td align="center">';
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if ((int) round($d1) === (int) $d1) {
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echo '<h2>*' . $d1 . '</h2>';
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} else {
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echo '*' . $d1 . '';
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}
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echo '</td>';
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} else {
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echo '<td>&nbsp;</td>';
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}
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}
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echo '</tr>';
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}
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echo '</table>';
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}
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}

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